1. The problem statement, all variables and given/known data Prove mathematically that regardless of the range and initial speed, a projectile and a falling object will always meet. 2. Relevant equations Vf^2 = Vi^2 + 2ad, d = vi t + 1/2 at^2, d = vt.. etc basic constant velocity and acceleration formulas. 3. The attempt at a solution this question followed one with specific information given (which I was able to easily solve) and I know how to explain the answer in words; a projectile is under the same force of gravity as th e falling object, so after a certain amount of time the horizontal component of speed will meet up with the falling object, obviously if there is less distance and/or a higher horizontal speed this will occur quicker, but how do I show this conclusion using mathematical formulas?